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2. The marginal cost of producing an item is the rate at which its cost changes with respect to the number of items produced. Thus, $C(x)$ is the cost of producing $x$ items, and the marginal cost is $C'(x)$. The marginal cost approximates the additional cost necessary to produce one additional item. Thus $C'(x)$ is the approximate cost incurred to produce the $(x+1)$ nth item. Supposed the total cost of producing $x$ items is given by the function $C(x) = 0.001x^3 + 0.025x^2 + 3x + 5$. Determine the marginal cost of producing the 51st item.

          2. The marginal cost of producing an item is the rate at which its cost changes with respect to the number of items produced. Thus, $C(x)$ is the cost of producing $x$ items, and the marginal cost is $C'(x)$. The marginal cost approximates the additional cost necessary to produce one additional item. Thus $C'(x)$ is the approximate cost incurred to produce the $(x+1)$ nth item. Supposed the total cost of producing $x$ items is given by the function $C(x) = 0.001x^3 + 0.025x^2 + 3x + 5$. Determine the marginal cost of producing the 51st item.

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2. The marginal cost of producing an item is the rate at which its cost changes with respect to the number of items produced. Thus, C(x) is the cost of producing x items, and the marginal cost is C'(x). The marginal cost approximates the additional cost necessary to produce one additional item. Thus C'(x) is the approximate cost incurred to produce the (x+1) nth item. Supposed the total cost of producing x items is given by the function C(x) = 0.001x^3 + 0.025x^2 + 3x + 5. Determine the marginal cost of producing the 51st item.

Added by Joaquin A.

Calculus: Early Transcendentals

James Stewart 8th Edition

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The marginal cost of producing an item is the rate at which its cost changes with respect to the number of items produced. Thus, C is the cost of producing x items and the marginal cost is Cx. The marginal cost approximates the additional cost necessary to produce one additional item. Thus, Cx is the approximate cost incurred to produce the x+1 nth item. Suppose the total cost of producing x items is given by the function C = 0.001x + 0.025x^2 + 3x + 5. Determine the marginal cost of producing the 51st item.

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